{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ch:14 Keys and couplings"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 14-1 - Page 401"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " FOS1 is 4.376     \n",
      "\n",
      " FOS2 is 4.85     \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi, atan, acos, cos\n",
    "d=40#\n",
    "r=d/2#\n",
    "P=6*10**3#\n",
    "N=350#\n",
    "sigyt=380#\n",
    "A=pi*12**2/2#\n",
    "theta=pi-(2*atan(4/12))#\n",
    "alpha=180-(theta*pi/180)#\n",
    "l=2*12*cos(19.5*pi/180)#\n",
    "A1=l*4/2#\n",
    "Abcd=(A*141/180)-A1#\n",
    "A2=A-Abcd#\n",
    "A3=8*l#\n",
    "w=2*pi*N/60#\n",
    "T=P/w#\n",
    "Pt=T*10**3/r#\n",
    "sigb=Pt/A2#\n",
    "#Let shear stress developed in key Tk\n",
    "Tk=Pt/A3#\n",
    "FOS1=sigyt/sigb#\n",
    "FOS2=0.577*sigyt/Tk#\n",
    "print \" FOS1 is %0.3f     \"%(FOS1)#\n",
    "print \"\\n FOS2 is %0.2f     \"%(FOS2)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 14-2 - Page 401"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " Ts is 3.39 N/mm**2     \n",
      "\n",
      " Th is 2.98 N/mm**2    \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi\n",
    "n=12#\n",
    "phi=360*pi/(180*12*2)#\n",
    "R1=45/2#\n",
    "R2=50/2#\n",
    "l=60#\n",
    "Rm=(R1+R2)/2#\n",
    "p=6.5#\n",
    "Pn=(R2-R1)*l*p#\n",
    "T=Pn*Rm#\n",
    "T=T*n#\n",
    "N=400#\n",
    "w=2*pi*N/60#\n",
    "P=T*w#\n",
    "A=(pi*R1*l)/n#\n",
    "Ts=Pn/A#\n",
    "Ah=(pi*R2*l)/n#\n",
    "Th=Pn/Ah#\n",
    "print \" Ts is %0.2f N/mm**2     \"%(Ts)#\n",
    "print \"\\n Th is %0.2f N/mm**2    \"%(Th)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 14-3 - Page 402"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " l1 is 17 mm     \n",
      "\n",
      " l2 is 19.85 mm     \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi\n",
    "N=360#\n",
    "w=2*pi*N/60#\n",
    "sigyt=380#\n",
    "r=25#\n",
    "P=40*10**3#\n",
    "FOS=3#\n",
    "T=P/w#\n",
    "Pt=T*10**3/(2*r)#\n",
    "siga=380/3#\n",
    "Ta=0.577*380/3#\n",
    "l1=Pt/(sqrt(2)*12*Ta)#\n",
    "l2=Pt*sqrt(2)/(siga*12)#\n",
    "print \" l1 is %0.0f mm     \"%(l1)#\n",
    "print \"\\n l2 is %0.2f mm     \"%(l2)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 14-4 - Page 403"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " d is 40 mm     \n",
      "\n",
      " Tsh is 3.13 MPa     \n",
      "\n",
      " b is 7 mm     \n",
      "\n",
      " t is 7 mm     \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi\n",
    "N=300#\n",
    "w=2*pi*N/60#\n",
    "P=12*10**3#\n",
    "Ks=1.25#\n",
    "Pd=P*Ks#\n",
    "T=Pd/w#\n",
    "Tas=50#\n",
    "d=16*T*10**3/(pi*Tas)#\n",
    "d=d**(1/3)#\n",
    "d=40#\n",
    "Ts=10#\n",
    "d1=(2*d)+13#\n",
    "x=(d1**4-d**4)/d1#\n",
    "#Let the shear stress in the key be Tsh\n",
    "Tsh=T*10**3*16/(pi*x)#\n",
    "l=3.5*d#\n",
    "Ft=T*2*10**3/d#\n",
    "l1=70#\n",
    "sigak=50#\n",
    "b=Ft/(l1*sigak)#\n",
    "t=2*Ft/(100*l1)#\n",
    "print \" d is %0.0f mm     \"%(d)#\n",
    "print \"\\n Tsh is %0.2f MPa     \"%(Tsh)#\n",
    "print \"\\n b is %0.0f mm     \"%(b)#\n",
    "print \"\\n t is %0.0f mm     \"%(t)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 14-5 - Page 403"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " d is 60 mm     \n",
      "\n",
      " b is 13.6 mm     \n",
      "\n",
      " t is 12 mm     \n",
      "\n",
      " dr is 27.822 mm     \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi\n",
    "P=36*10**3#\n",
    "N=200#\n",
    "w=2*pi*N/60#\n",
    "T=P/w#\n",
    "Tas=45#\n",
    "d=16*T*10**3/(pi*Tas)#\n",
    "d=d**(1/3)#\n",
    "d=60#\n",
    "d1=(2*d)+13#\n",
    "l=3.5*d#\n",
    "Ftk=T*2/d#\n",
    "lk=l/2#\n",
    "Tak=40#\n",
    "sigack=90#\n",
    "b=Ftk*10**3/(lk*Tak)#\n",
    "t=2*Ftk*10**3/(sigack*lk)#\n",
    "n=4#\n",
    "sigatb=60#\n",
    "u=0.25#\n",
    "dr=16*T*10**3/(u*pi**2*sigatb*n*d)#\n",
    "dr=sqrt(dr)#\n",
    "print \" d is %0.0f mm     \"%(d)#\n",
    "print \"\\n b is %0.1f mm     \"%(b)#\n",
    "print \"\\n t is %0.0f mm     \"%(t)#\n",
    "print \"\\n dr is %0.3f mm     \"%(dr)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 14-6 - Page 404"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " d is 32 mm     \n",
      "\n",
      " b is 7 mm     \n",
      "\n",
      " t is 8 mm     \n",
      "\n",
      " db is 5.96 mm     \n",
      "\n",
      " db1 is 6.15 mm     \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi\n",
    "P=16*10**3#\n",
    "N=1000#\n",
    "w=2*pi*N/60#\n",
    "T=P/w#\n",
    "Ks=1.4#\n",
    "Td=T*Ks#\n",
    "Tas=40#\n",
    "d=16*T*10**3/(pi*Tas)#\n",
    "d=d**(1/3)#\n",
    "d=32#\n",
    "d1=2*d#\n",
    "l=1.5*d#\n",
    "ds=1.5*d#\n",
    "Tak=40#\n",
    "sigack=70#\n",
    "Ftk=Td*2/d#\n",
    "b=Ftk*10**3/(l*Tak)#\n",
    "t=2*Ftk*10**3/(sigack*l)#\n",
    "Taf=10#\n",
    "tf=Td*10**3*2/(pi*Taf*d1**2)#\n",
    "Ftb=Td*10**3/(1.5*d*4)#\n",
    "Tab=40#\n",
    "db=sqrt(Ftb*4/(Tab*pi))#\n",
    "D=4*d#\n",
    "trp=d/6#\n",
    "Ftb1=Td*10**3/(45*4)#\n",
    "db1=sqrt(Ftb1*4/(Tab*pi))#\n",
    "print \" d is %0.0f mm     \"%(d)#\n",
    "print \"\\n b is %0.0f mm     \"%(b)#\n",
    "print \"\\n t is %0.0f mm     \"%(t)#\n",
    "print \"\\n db is %0.2f mm     \"%(db)#\n",
    "print \"\\n db1 is %0.2f mm     \"%(db1)#\n",
    "  \n",
    "#The answer to Key thickness 't' is calculated incorrectly in the book."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 14-7 - Page 404"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " sigmax is 36.77 MPa     \n",
      "\n",
      " b is 9 mm     \n",
      "\n",
      " t is 6 mm     \n",
      "\n",
      " Lf is 36 mm     \n",
      "\n",
      " Do is 180 mm     \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi\n",
    "P=30*10**3#\n",
    "N=1440#\n",
    "w=2*pi*N/60#\n",
    "T=P/w#\n",
    "d=36#\n",
    "d1=30#\n",
    "d2=2*d#\n",
    "d3=d1*2#\n",
    "l=1.5*d#\n",
    "Dp=3.5*d#\n",
    "n=6#\n",
    "Ft=(2*T)/(Dp*n)#\n",
    "p=0.5#\n",
    "A=Ft/p#\n",
    "Lf=d#\n",
    "dp=A/Lf#\n",
    "M=Ft*10**3*(5+(Lf/2))#\n",
    "db=(32*M/(pi*40))**(1/3)#\n",
    "db=15#\n",
    "T=(4*526)/(pi*db**2)#\n",
    "sigb=32*M/(pi*db**3)#\n",
    "sigmax=(sigb/2)+sqrt(((sigb/2)**2)+(T**2))#\n",
    "b=d/4#\n",
    "t=6#\n",
    "Lf=36#\n",
    "La=10#\n",
    "Do=126+30+(2*(5+1))+(2*6)#\n",
    "print \" sigmax is %0.2f MPa     \"%(sigmax)#\n",
    "print \"\\n b is %0.0f mm     \"%(b)#\n",
    "print \"\\n t is %0.0f mm     \"%(t)#\n",
    "print \"\\n Lf is %0.0f mm     \"%(Lf)#\n",
    "print \"\\n Do is %0.0f mm     \"%(Do)#"
   ]
  }
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